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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 143 - 153 (11page)
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In this paper, we study some curvature properties of Sasakian 3-manifolds associated to $\mathcal{Z}$-tensor. It is proved that if a Sasakian 3-manifold $(M,g)$ satisfies one of the conditions (1) the $\mathcal{Z}$-tensor is of Codazzi type, (2) $M$ is $\mathcal{Z}$-semisymmetric, (3) $M$ satisfies $Q(\mathcal{Z},R) = 0$, (4) $M$ is projectively $\mathcal{Z}$-semisymmetric, (5) $M$ is $\mathcal{Z}$-recurrent, then $(M,g)$ is of constant curvature 1. Several consequences are drawn from these results.
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참고문헌 (12)
참고문헌 신청
A. Besse / 2008 / Einstein manifolds / Springer-Verlag
D.E. Blair / 1976 / Lecture Notes on Mathematics / Springer :509
D.E. Blair / 2010 / Riemannian Geometry on contact and symplectic manifolds / Progr. Math. :203
U.C. De / 2019 / Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions / Acta Comment. Univ. Tartu. Math 23:13~24
D. Dey / Some type of semisymmetry on two classes of almost Kenmotsu manifolds / Accepted for publication in “Communications in Mathematics”
D.E. Blair / 1976 / Lecture Notes on Mathematics / Springer :509
D.E. Blair / 2010 / Riemannian Geometry on contact and symplectic manifolds / Progr. Math. :203
U.C. De / 2019 / Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions / Acta Comment. Univ. Tartu. Math 23:13~24
D. Dey / Some type of semisymmetry on two classes of almost Kenmotsu manifolds / Accepted for publication in “Communications in Mathematics”
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